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Finding the Fourth Proportional to 8,464.10, 11,680.43 and 4,738.10

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Solution

The fourth proportional to 8,464.10, 11,680.43 and 4,738.10 is: 6,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.10 : 11,680.43 = 4,738.10 : x
  2. Step 2: Convert to fraction form
    8,464.10/11,680.43 = 4,738.10/x
  3. Step 3: Cross multiply
    8,464.10x = 11,680.43 × 4,738.10
  4. Step 4: Simplify right side
    8,464.10x = 55,342,963.29
  5. Step 5: Solve for x
    x = 55,342,963.29/8,464.10
  6. Step 6: Final answer
    x = 6,538.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.